%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ001+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:43:54 AM UTC 2026 % Result : Theorem 0.52s 0.76s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ001+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 13:11:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.76 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.76 % SZS status Theorem % 0.52/0.76 % SZS output start Proof % 0.52/0.76 ( % 0.52/0.76 (declare-sort $$unsorted 0) % 0.52/0.76 (declare-const tptp.predicate1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.76 (declare-const |tptp.'Butler'| $$unsorted) % 0.52/0.76 (declare-const |tptp.'AuntAgatha'| $$unsorted) % 0.52/0.76 (declare-const tptp.hate $$unsorted) % 0.52/0.76 (declare-const tptp.predicate2 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.76 (declare-const tptp.comp_than $$unsorted) % 0.52/0.76 (declare-const tptp.rich $$unsorted) % 0.52/0.76 (declare-const tptp.live $$unsorted) % 0.52/0.76 (declare-const tptp.property2 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.76 (declare-const |tptp.'Charles'| $$unsorted) % 0.52/0.76 (declare-const tptp.kill $$unsorted) % 0.52/0.76 (declare-const |tptp.'DreadburyMansion'| $$unsorted) % 0.52/0.76 (declare-const tptp.in $$unsorted) % 0.52/0.76 (declare-const tptp.modifier_pp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.76 (define @t1 () (= |tptp.'AuntAgatha'| |tptp.'Butler'|)) % 0.52/0.76 (define @t2 () (not @t1)) % 0.52/0.76 (define @t3 () (@var "A1" $$unsorted)) % 0.52/0.76 (define @t4 () (@var "Z" $$unsorted)) % 0.52/0.76 (define @t5 () (@var "B1" $$unsorted)) % 0.52/0.76 (define @t6 () (tptp.predicate2 @t5 tptp.hate @t4 @t3)) % 0.52/0.76 (define @t7 () (@list @t5)) % 0.52/0.76 (define @t8 () (exists @t7 @t6)) % 0.52/0.76 (define @t9 () (@list @t3)) % 0.52/0.76 (define @t10 () (forall @t9 (=> true @t8))) % 0.52/0.76 (define @t11 () (not @t10)) % 0.52/0.76 (define @t12 () (@list @t4)) % 0.52/0.76 (define @t13 () (forall @t12 (=> true @t11))) % 0.52/0.76 (define @t14 () (@var "W" $$unsorted)) % 0.52/0.76 (define @t15 () (@var "Y" $$unsorted)) % 0.52/0.76 (define @t16 () (tptp.predicate2 @t15 tptp.hate |tptp.'Butler'| @t14)) % 0.52/0.76 (define @t17 () (@list @t15)) % 0.52/0.76 (define @t18 () (exists @t17 @t16)) % 0.52/0.76 (define @t19 () (@var "X" $$unsorted)) % 0.52/0.76 (define @t20 () (tptp.predicate2 @t19 tptp.hate |tptp.'AuntAgatha'| @t14)) % 0.52/0.76 (define @t21 () (and true @t20)) % 0.52/0.76 (define @t22 () (=> @t21 @t18)) % 0.52/0.76 (define @t23 () (@list @t14 @t19)) % 0.52/0.76 (define @t24 () (forall @t23 @t22)) % 0.52/0.76 (define @t25 () (@var "T" $$unsorted)) % 0.52/0.76 (define @t26 () (@var "V" $$unsorted)) % 0.52/0.76 (define @t27 () (tptp.predicate2 @t26 tptp.hate |tptp.'Butler'| @t25)) % 0.52/0.76 (define @t28 () (@list @t26)) % 0.52/0.76 (define @t29 () (exists @t28 @t27)) % 0.52/0.76 (define @t30 () (@var "U" $$unsorted)) % 0.52/0.76 (define @t31 () (= @t25 @t30)) % 0.52/0.76 (define @t32 () (tptp.property2 @t30 tptp.rich tptp.comp_than |tptp.'AuntAgatha'|)) % 0.52/0.76 (define @t33 () (and @t32 @t31)) % 0.52/0.76 (define @t34 () (@list @t30)) % 0.52/0.76 (define @t35 () (exists @t34 @t33)) % 0.52/0.76 (define @t36 () (not @t35)) % 0.52/0.76 (define @t37 () (and true @t36)) % 0.52/0.76 (define @t38 () (=> @t37 @t29)) % 0.52/0.76 (define @t39 () (@list @t25)) % 0.52/0.76 (define @t40 () (forall @t39 @t38)) % 0.52/0.76 (define @t41 () (@var "R" $$unsorted)) % 0.52/0.76 (define @t42 () (@var "S" $$unsorted)) % 0.52/0.76 (define @t43 () (tptp.predicate2 @t42 tptp.hate |tptp.'AuntAgatha'| @t41)) % 0.52/0.76 (define @t44 () (@list @t42)) % 0.52/0.76 (define @t45 () (exists @t44 @t43)) % 0.52/0.76 (define @t46 () (not (= @t41 |tptp.'Butler'|))) % 0.52/0.76 (define @t47 () (and true @t46)) % 0.52/0.76 (define @t48 () (=> @t47 @t45)) % 0.52/0.76 (define @t49 () (@list @t41)) % 0.52/0.76 (define @t50 () (forall @t49 @t48)) % 0.52/0.76 (define @t51 () (@var "Q" $$unsorted)) % 0.52/0.76 (define @t52 () (tptp.predicate2 @t51 tptp.hate |tptp.'AuntAgatha'| |tptp.'Butler'|)) % 0.52/0.76 (define @t53 () (@list @t51)) % 0.52/0.76 (define @t54 () (exists @t53 @t52)) % 0.52/0.76 (define @t55 () (not @t54)) % 0.52/0.76 (define @t56 () (@var "N" $$unsorted)) % 0.52/0.76 (define @t57 () (@var "P" $$unsorted)) % 0.52/0.76 (define @t58 () (tptp.predicate2 @t57 tptp.hate |tptp.'Charles'| @t56)) % 0.52/0.76 (define @t59 () (@list @t57)) % 0.52/0.76 (define @t60 () (exists @t59 @t58)) % 0.52/0.76 (define @t61 () (not @t60)) % 0.52/0.76 (define @t62 () (@var "O" $$unsorted)) % 0.52/0.76 (define @t63 () (tptp.predicate2 @t62 tptp.hate |tptp.'AuntAgatha'| @t56)) % 0.52/0.76 (define @t64 () (and true @t63)) % 0.52/0.76 (define @t65 () (=> @t64 @t61)) % 0.52/0.76 (define @t66 () (@list @t56 @t62)) % 0.52/0.76 (define @t67 () (forall @t66 @t65)) % 0.52/0.76 (define @t68 () (@var "M" $$unsorted)) % 0.52/0.76 (define @t69 () (@var "J" $$unsorted)) % 0.52/0.76 (define @t70 () (= @t69 @t68)) % 0.52/0.76 (define @t71 () (@var "K" $$unsorted)) % 0.52/0.76 (define @t72 () (tptp.property2 @t68 tptp.rich tptp.comp_than @t71)) % 0.52/0.76 (define @t73 () (@var "L" $$unsorted)) % 0.52/0.76 (define @t74 () (tptp.predicate2 @t73 tptp.kill @t69 @t71)) % 0.52/0.76 (define @t75 () (and true @t74 @t72 @t70)) % 0.52/0.76 (define @t76 () (@list @t71 @t73 @t68)) % 0.52/0.76 (define @t77 () (exists @t76 @t75)) % 0.52/0.76 (define @t78 () (not @t77)) % 0.52/0.76 (define @t79 () (@list @t69)) % 0.52/0.76 (define @t80 () (forall @t79 (=> true @t78))) % 0.52/0.76 (define @t81 () (@var "G" $$unsorted)) % 0.52/0.76 (define @t82 () (@var "F" $$unsorted)) % 0.52/0.76 (define @t83 () (@var "I" $$unsorted)) % 0.52/0.76 (define @t84 () (tptp.predicate2 @t83 tptp.hate @t82 @t81)) % 0.52/0.76 (define @t85 () (@list @t83)) % 0.52/0.76 (define @t86 () (exists @t85 @t84)) % 0.52/0.76 (define @t87 () (@var "H" $$unsorted)) % 0.52/0.76 (define @t88 () (tptp.predicate2 @t87 tptp.kill @t82 @t81)) % 0.52/0.76 (define @t89 () (and true @t88)) % 0.52/0.76 (define @t90 () (=> @t89 @t86)) % 0.52/0.76 (define @t91 () (@list @t81 @t87)) % 0.52/0.76 (define @t92 () (forall @t91 @t90)) % 0.52/0.76 (define @t93 () (@list @t82)) % 0.52/0.76 (define @t94 () (forall @t93 (=> true @t92))) % 0.52/0.76 (define @t95 () (@var "D" $$unsorted)) % 0.52/0.76 (define @t96 () (or (= @t95 |tptp.'AuntAgatha'|) (= @t95 |tptp.'Butler'|) (= @t95 |tptp.'Charles'|))) % 0.52/0.76 (define @t97 () (@var "E" $$unsorted)) % 0.52/0.76 (define @t98 () (tptp.modifier_pp @t97 tptp.in |tptp.'DreadburyMansion'|)) % 0.52/0.76 (define @t99 () (tptp.predicate1 @t97 tptp.live @t95)) % 0.52/0.76 (define @t100 () (and true @t99 @t98)) % 0.52/0.76 (define @t101 () (=> @t100 @t96)) % 0.52/0.76 (define @t102 () (@list @t95 @t97)) % 0.52/0.76 (define @t103 () (forall @t102 @t101)) % 0.52/0.76 (define @t104 () (@var "A" $$unsorted)) % 0.52/0.76 (define @t105 () (@var "C" $$unsorted)) % 0.52/0.76 (define @t106 () (tptp.predicate2 @t105 tptp.kill @t104 |tptp.'AuntAgatha'|)) % 0.52/0.76 (define @t107 () (@var "B" $$unsorted)) % 0.52/0.76 (define @t108 () (tptp.modifier_pp @t107 tptp.in |tptp.'DreadburyMansion'|)) % 0.52/0.76 (define @t109 () (tptp.predicate1 @t107 tptp.live @t104)) % 0.52/0.76 (define @t110 () (and true @t109 @t108 @t106 @t103 @t94 @t80 @t67 @t55 @t50 @t40 @t24 @t13 @t2)) % 0.52/0.76 (define @t111 () (@list @t104 @t107 @t105)) % 0.52/0.76 (define @t112 () (exists @t111 @t110)) % 0.52/0.76 (define @t113 () (tptp.predicate2 @t104 tptp.kill |tptp.'AuntAgatha'| |tptp.'AuntAgatha'|)) % 0.52/0.76 (define @t114 () (@list @t104)) % 0.52/0.76 (define @t115 () (exists @t114 @t113)) % 0.52/0.76 (define @t116 () (not @t115)) % 0.52/0.76 (define @t117 () (not @t106)) % 0.52/0.76 (define @t118 () (not @t108)) % 0.52/0.76 (define @t119 () (not @t109)) % 0.52/0.76 (define @t120 () (or @t119 @t118 @t117)) % 0.52/0.76 (define @t121 () (forall @t111 @t120)) % 0.52/0.76 (define @t122 () (not (forall @t7 (not @t6)))) % 0.52/0.76 (define @t123 () (forall @t12 (not (forall @t9 @t122)))) % 0.52/0.76 (define @t124 () (not @t123)) % 0.52/0.76 (define @t125 () (not (forall @t17 (not @t16)))) % 0.52/0.76 (define @t126 () (forall @t23 (or (not @t20) @t125))) % 0.52/0.76 (define @t127 () (not @t126)) % 0.52/0.76 (define @t128 () (not (forall @t28 (not @t27)))) % 0.52/0.76 (define @t129 () (tptp.property2 @t25 tptp.rich tptp.comp_than |tptp.'AuntAgatha'|)) % 0.52/0.76 (define @t130 () (forall @t39 (or @t129 @t128))) % 0.52/0.76 (define @t131 () (not @t130)) % 0.52/0.76 (define @t132 () (not (forall @t44 (not @t43)))) % 0.52/0.76 (define @t133 () (= |tptp.'Butler'| @t41)) % 0.52/0.76 (define @t134 () (forall @t49 (or @t133 @t132))) % 0.52/0.76 (define @t135 () (not @t134)) % 0.52/0.76 (define @t136 () (forall @t53 (not @t52))) % 0.52/0.76 (define @t137 () (not @t136)) % 0.52/0.76 (define @t138 () (@var "BOUND_VARIABLE_7606" $$unsorted)) % 0.52/0.76 (define @t139 () (not (tptp.predicate2 @t138 tptp.hate |tptp.'Charles'| @t56))) % 0.52/0.76 (define @t140 () (not @t63)) % 0.52/0.76 (define @t141 () (or @t140 @t139)) % 0.52/0.76 (define @t142 () (forall (@list @t56 @t62 @t138) @t141)) % 0.52/0.76 (define @t143 () (not @t142)) % 0.52/0.76 (define @t144 () (not (tptp.property2 @t69 tptp.rich tptp.comp_than @t71))) % 0.52/0.76 (define @t145 () (not @t74)) % 0.52/0.76 (define @t146 () (or @t145 @t144)) % 0.52/0.76 (define @t147 () (forall (@list @t69 @t71 @t73) @t146)) % 0.52/0.76 (define @t148 () (not @t147)) % 0.52/0.76 (define @t149 () (not (forall @t85 (not @t84)))) % 0.52/0.76 (define @t150 () (or (not @t88) @t149)) % 0.52/0.76 (define @t151 () (forall (@list @t82 @t81 @t87) @t150)) % 0.52/0.76 (define @t152 () (not @t151)) % 0.52/0.76 (define @t153 () (= |tptp.'Charles'| @t95)) % 0.52/0.76 (define @t154 () (= |tptp.'Butler'| @t95)) % 0.52/0.76 (define @t155 () (= |tptp.'AuntAgatha'| @t95)) % 0.52/0.76 (define @t156 () (not @t98)) % 0.52/0.76 (define @t157 () (not @t99)) % 0.52/0.76 (define @t158 () (or @t157 @t156 @t155 @t154 @t153)) % 0.52/0.76 (define @t159 () (forall @t102 @t158)) % 0.52/0.76 (define @t160 () (not @t159)) % 0.52/0.76 (define @t161 () (or @t160 @t152 @t148 @t143 @t137 @t135 @t131 @t127 @t124 @t1 @t120)) % 0.52/0.76 (define @t162 () (or @t119 @t118 @t117 @t160 @t152 @t148 @t143 @t137 @t135 @t131 @t127 @t124 @t1)) % 0.52/0.76 (define @t163 () (not @t2)) % 0.52/0.76 (define @t164 () (or @t119 @t118 @t117 @t160 @t152 @t148 @t143 @t137 @t135 @t131 @t127 @t124 @t163)) % 0.52/0.76 (define @t165 () (and @t109 @t108 @t106 @t159 @t151 @t147 @t142 @t136 @t134 @t130 @t126 @t123 @t2)) % 0.52/0.76 (define @t166 () (forall @t111 (not @t165))) % 0.52/0.76 (define @t167 () (not @t166)) % 0.52/0.76 (define @t168 () (not @t129)) % 0.52/0.76 (define @t169 () (not (= @t25 @t25))) % 0.52/0.76 (define @t170 () (or @t168 @t169)) % 0.52/0.76 (define @t171 () (not @t31)) % 0.52/0.76 (define @t172 () (not @t32)) % 0.52/0.76 (define @t173 () (or @t171 @t172 @t171)) % 0.52/0.76 (define @t174 () (or @t172 @t171)) % 0.52/0.76 (define @t175 () (forall @t34 (not @t33))) % 0.52/0.76 (define @t176 () (not @t175)) % 0.52/0.76 (define @t177 () (not @t133)) % 0.52/0.76 (define @t178 () (@list @t138)) % 0.52/0.76 (define @t179 () (forall @t178 @t141)) % 0.52/0.76 (define @t180 () (forall @t178 @t139)) % 0.52/0.76 (define @t181 () (or @t140 @t180)) % 0.52/0.76 (define @t182 () (forall @t59 (not @t58))) % 0.52/0.76 (define @t183 () (@list @t71 @t73)) % 0.52/0.76 (define @t184 () (forall @t183 @t146)) % 0.52/0.76 (define @t185 () (not (= @t69 @t69))) % 0.52/0.76 (define @t186 () (or @t145 @t144 @t185)) % 0.52/0.76 (define @t187 () (not @t70)) % 0.52/0.76 (define @t188 () (not @t72)) % 0.52/0.76 (define @t189 () (@list @t68)) % 0.52/0.76 (define @t190 () (or @t187 @t145 @t188 @t187)) % 0.52/0.76 (define @t191 () (or @t145 @t188 @t187)) % 0.52/0.76 (define @t192 () (forall @t189 @t191)) % 0.52/0.76 (define @t193 () (forall @t183 @t192)) % 0.52/0.76 (define @t194 () (and @t74 @t72 @t70)) % 0.52/0.76 (define @t195 () (forall @t76 (not @t194))) % 0.52/0.76 (define @t196 () (not @t195)) % 0.52/0.76 (define @t197 () (or @t155 @t154 @t153)) % 0.52/0.76 (define @t198 () (and @t99 @t98)) % 0.52/0.76 (define @t199 () (and @t109 @t108 @t106 @t103 @t94 @t80 @t67 @t55 @t50 @t40 @t24 @t13 @t2)) % 0.52/0.76 (define @t200 () (@quantifiers_skolemize @t121 0)) % 0.52/0.76 (define @t201 () (@quantifiers_skolemize @t121 2)) % 0.52/0.76 (define @t202 () (tptp.predicate2 @t201 tptp.kill @t200 |tptp.'AuntAgatha'|)) % 0.52/0.76 (define @t203 () (not @t202)) % 0.52/0.76 (define @t204 () (@quantifiers_skolemize @t121 1)) % 0.52/0.76 (define @t205 () (tptp.modifier_pp @t204 tptp.in |tptp.'DreadburyMansion'|)) % 0.52/0.76 (define @t206 () (not @t205)) % 0.52/0.76 (define @t207 () (tptp.predicate1 @t204 tptp.live @t200)) % 0.52/0.76 (define @t208 () (not @t207)) % 0.52/0.76 (define @t209 () (or @t208 @t206 @t203)) % 0.52/0.76 (define @t210 () (@list true)) % 0.52/0.76 (define @t211 () (@list @t209)) % 0.52/0.76 (define @t212 () (forall @t114 (not @t113))) % 0.52/0.76 (define @t213 () (forall @t85 (not (tptp.predicate2 @t83 tptp.hate @t200 |tptp.'AuntAgatha'|)))) % 0.52/0.76 (define @t214 () (@quantifiers_skolemize @t213 0)) % 0.52/0.76 (define @t215 () (forall @t85 (not (tptp.predicate2 @t83 tptp.hate |tptp.'AuntAgatha'| |tptp.'AuntAgatha'|)))) % 0.52/0.76 (define @t216 () (@quantifiers_skolemize @t215 0)) % 0.52/0.76 (define @t217 () (forall @t44 (not (tptp.predicate2 @t42 tptp.hate |tptp.'AuntAgatha'| |tptp.'AuntAgatha'|)))) % 0.52/0.76 (define @t218 () (not @t217)) % 0.52/0.76 (define @t219 () (or (= |tptp.'Butler'| |tptp.'AuntAgatha'|) @t218)) % 0.52/0.76 (define @t220 () (or @t1 @t218)) % 0.52/0.76 (define @t221 () (@list false)) % 0.52/0.76 (define @t222 () (@list true false)) % 0.52/0.76 (define @t223 () (not @t215)) % 0.52/0.76 (define @t224 () (tptp.predicate2 @t216 tptp.hate |tptp.'AuntAgatha'| |tptp.'AuntAgatha'|)) % 0.52/0.76 (define @t225 () (not @t224)) % 0.52/0.76 (define @t226 () (not @t225)) % 0.52/0.76 (define @t227 () (tptp.predicate2 @t214 tptp.hate |tptp.'Charles'| |tptp.'AuntAgatha'|)) % 0.52/0.76 (define @t228 () (not @t227)) % 0.52/0.76 (define @t229 () (or @t225 @t228)) % 0.52/0.76 (define @t230 () (@list false false)) % 0.52/0.76 (define @t231 () (@list @t200 |tptp.'AuntAgatha'| @t201)) % 0.52/0.76 (define @t232 () (not @t213)) % 0.52/0.76 (define @t233 () (or @t203 @t232)) % 0.52/0.76 (define @t234 () (tptp.predicate2 @t214 tptp.hate @t200 |tptp.'AuntAgatha'|)) % 0.52/0.76 (define @t235 () (not @t234)) % 0.52/0.76 (define @t236 () (not @t235)) % 0.52/0.76 (define @t237 () (= |tptp.'Charles'| @t200)) % 0.52/0.76 (define @t238 () (not @t237)) % 0.52/0.76 (define @t239 () (= true false)) % 0.52/0.76 (define @t240 () (and @t228 @t237 @t234)) % 0.52/0.76 (define @t241 () (forall @t9 (not (forall @t7 (not (tptp.predicate2 @t5 tptp.hate |tptp.'Butler'| @t3)))))) % 0.52/0.76 (define @t242 () (@quantifiers_skolemize @t241 0)) % 0.52/0.76 (define @t243 () (forall @t44 (not (tptp.predicate2 @t42 tptp.hate |tptp.'AuntAgatha'| @t242)))) % 0.52/0.76 (define @t244 () (@quantifiers_skolemize @t243 0)) % 0.52/0.76 (define @t245 () (forall @t7 (not (tptp.predicate2 @t5 tptp.hate |tptp.'Butler'| @t242)))) % 0.52/0.76 (define @t246 () (not @t241)) % 0.52/0.76 (define @t247 () (not (not @t245))) % 0.52/0.76 (define @t248 () (forall @t17 (not (tptp.predicate2 @t15 tptp.hate |tptp.'Butler'| @t242)))) % 0.52/0.76 (define @t249 () (not @t248)) % 0.52/0.76 (define @t250 () (tptp.predicate2 @t244 tptp.hate |tptp.'AuntAgatha'| @t242)) % 0.52/0.76 (define @t251 () (not @t250)) % 0.52/0.76 (define @t252 () (or @t251 @t249)) % 0.52/0.76 (define @t253 () (not @t243)) % 0.52/0.76 (define @t254 () (not @t251)) % 0.52/0.76 (define @t255 () (= |tptp.'Butler'| @t242)) % 0.52/0.76 (define @t256 () (or @t255 @t253)) % 0.52/0.76 (define @t257 () (forall @t28 (not (tptp.predicate2 @t26 tptp.hate |tptp.'Butler'| @t200)))) % 0.52/0.76 (define @t258 () (@quantifiers_skolemize @t257 0)) % 0.52/0.76 (define @t259 () (tptp.property2 @t200 tptp.rich tptp.comp_than |tptp.'AuntAgatha'|)) % 0.52/0.76 (define @t260 () (not @t259)) % 0.52/0.76 (define @t261 () (or @t203 @t260)) % 0.52/0.76 (define @t262 () (not @t257)) % 0.52/0.76 (define @t263 () (or @t259 @t262)) % 0.52/0.76 (define @t264 () (tptp.predicate2 @t258 tptp.hate |tptp.'Butler'| @t200)) % 0.52/0.76 (define @t265 () (not @t264)) % 0.52/0.76 (define @t266 () (not @t265)) % 0.52/0.76 (define @t267 () (not @t255)) % 0.52/0.76 (define @t268 () (tptp.predicate2 @t258 tptp.hate |tptp.'Butler'| @t242)) % 0.52/0.76 (define @t269 () (= |tptp.'Butler'| @t200)) % 0.52/0.76 (define @t270 () (not @t269)) % 0.52/0.76 (define @t271 () (not @t268)) % 0.52/0.76 (define @t272 () (and @t271 @t255 @t269 @t264)) % 0.52/0.76 (define @t273 () (@list false true false)) % 0.52/0.76 (define @t274 () (= |tptp.'AuntAgatha'| @t200)) % 0.52/0.76 (define @t275 () (or @t208 @t206 @t274 @t269 @t237)) % 0.52/0.76 (define @t276 () (tptp.predicate2 @t201 tptp.kill |tptp.'AuntAgatha'| |tptp.'AuntAgatha'|)) % 0.52/0.76 (define @t277 () (not @t274)) % 0.52/0.76 (define @t278 () (not @t276)) % 0.52/0.76 (define @t279 () (and @t278 @t274 @t202)) % 0.52/0.76 (assume @p1 @t112) % 0.52/0.76 (assume @p2 @t116) % 0.52/0.76 (assume @p3 true) % 0.52/0.76 (step @p4 :rule quant-miniscope-or :args ((= (forall @t111 @t161) (or @t160 @t152 @t148 @t143 @t137 @t135 @t131 @t127 @t124 @t1 @t121)))) % 0.52/0.76 (step @p5 :rule aci_norm :args ((= @t162 @t161))) % 0.52/0.76 (step @p6 :rule cong :premises (@p5) :args ((forall @t111 @t162))) % 0.52/0.76 (step @p7 :rule trans :premises (@p6 @p4)) % 0.52/0.76 (step @p8 :rule bool-double-not-elim :args (@t1)) % 0.52/0.76 (step @p9 :rule refl :args (@t124)) % 0.52/0.76 (step @p10 :rule refl :args (@t127)) % 0.52/0.76 (step @p11 :rule refl :args (@t131)) % 0.52/0.76 (step @p12 :rule refl :args (@t135)) % 0.52/0.76 (step @p13 :rule refl :args (@t137)) % 0.52/0.76 (step @p14 :rule refl :args (@t143)) % 0.52/0.76 (step @p15 :rule refl :args (@t148)) % 0.52/0.76 (step @p16 :rule refl :args (@t152)) % 0.52/0.76 (step @p17 :rule refl :args (@t160)) % 0.52/0.76 (step @p18 :rule refl :args (@t117)) % 0.52/0.76 (step @p19 :rule refl :args (@t118)) % 0.52/0.76 (step @p20 :rule refl :args (@t119)) % 0.52/0.76 (step @p21 :rule nary_cong :premises (@p20 @p19 @p18 @p17 @p16 @p15 @p14 @p13 @p12 @p11 @p10 @p9 @p8) :args (@t164)) % 0.52/0.76 (step @p22 :rule aci_norm :args ((= (or @t119 (or @t118 (or @t117 (or @t160 (or @t152 (or @t148 (or @t143 (or @t137 (or @t135 (or @t131 (or @t127 (or @t124 @t163)))))))))))) @t164))) % 0.52/0.76 (step @p23 :rule trans :premises (@p22 @p21)) % 0.52/0.76 (step @p24 :rule bool-and-de-morgan :args (@t123 @t2 true)) % 0.52/0.76 (step @p25 :rule nary_cong :premises (@p10 @p24) :args ((or @t127 (not (and @t123 @t2))))) % 0.52/0.76 (step @p26 :rule bool-and-de-morgan :args (@t126 @t123 (and @t2))) % 0.52/0.76 (step @p27 :rule trans :premises (@p26 @p25)) % 0.52/0.76 (step @p28 :rule nary_cong :premises (@p11 @p27) :args ((or @t131 (not (and @t126 @t123 @t2))))) % 0.52/0.76 (step @p29 :rule bool-and-de-morgan :args (@t130 @t126 (and @t123 @t2))) % 0.52/0.76 (step @p30 :rule trans :premises (@p29 @p28)) % 0.52/0.76 (step @p31 :rule nary_cong :premises (@p12 @p30) :args ((or @t135 (not (and @t130 @t126 @t123 @t2))))) % 0.52/0.76 (step @p32 :rule bool-and-de-morgan :args (@t134 @t130 (and @t126 @t123 @t2))) % 0.52/0.76 (step @p33 :rule trans :premises (@p32 @p31)) % 0.52/0.76 (step @p34 :rule nary_cong :premises (@p13 @p33) :args ((or @t137 (not (and @t134 @t130 @t126 @t123 @t2))))) % 0.52/0.76 (step @p35 :rule bool-and-de-morgan :args (@t136 @t134 (and @t130 @t126 @t123 @t2))) % 0.52/0.76 (step @p36 :rule trans :premises (@p35 @p34)) % 0.52/0.76 (step @p37 :rule nary_cong :premises (@p14 @p36) :args ((or @t143 (not (and @t136 @t134 @t130 @t126 @t123 @t2))))) % 0.52/0.76 (step @p38 :rule bool-and-de-morgan :args (@t142 @t136 (and @t134 @t130 @t126 @t123 @t2))) % 0.52/0.76 (step @p39 :rule trans :premises (@p38 @p37)) % 0.52/0.76 (step @p40 :rule nary_cong :premises (@p15 @p39) :args ((or @t148 (not (and @t142 @t136 @t134 @t130 @t126 @t123 @t2))))) % 0.52/0.76 (step @p41 :rule bool-and-de-morgan :args (@t147 @t142 (and @t136 @t134 @t130 @t126 @t123 @t2))) % 0.52/0.76 (step @p42 :rule trans :premises (@p41 @p40)) % 0.52/0.76 (step @p43 :rule nary_cong :premises (@p16 @p42) :args ((or @t152 (not (and @t147 @t142 @t136 @t134 @t130 @t126 @t123 @t2))))) % 0.52/0.76 (step @p44 :rule bool-and-de-morgan :args (@t151 @t147 (and @t142 @t136 @t134 @t130 @t126 @t123 @t2))) % 0.52/0.76 (step @p45 :rule trans :premises (@p44 @p43)) % 0.52/0.76 (step @p46 :rule nary_cong :premises (@p17 @p45) :args ((or @t160 (not (and @t151 @t147 @t142 @t136 @t134 @t130 @t126 @t123 @t2))))) % 0.52/0.76 (step @p47 :rule bool-and-de-morgan :args (@t159 @t151 (and @t147 @t142 @t136 @t134 @t130 @t126 @t123 @t2))) % 0.52/0.76 (step @p48 :rule trans :premises (@p47 @p46)) % 0.52/0.76 (step @p49 :rule nary_cong :premises (@p18 @p48) :args ((or @t117 (not (and @t159 @t151 @t147 @t142 @t136 @t134 @t130 @t126 @t123 @t2))))) % 0.52/0.76 (step @p50 :rule bool-and-de-morgan :args (@t106 @t159 (and @t151 @t147 @t142 @t136 @t134 @t130 @t126 @t123 @t2))) % 0.52/0.76 (step @p51 :rule trans :premises (@p50 @p49)) % 0.52/0.76 (step @p52 :rule nary_cong :premises (@p19 @p51) :args ((or @t118 (not (and @t106 @t159 @t151 @t147 @t142 @t136 @t134 @t130 @t126 @t123 @t2))))) % 0.52/0.76 (step @p53 :rule bool-and-de-morgan :args (@t108 @t106 (and @t159 @t151 @t147 @t142 @t136 @t134 @t130 @t126 @t123 @t2))) % 0.52/0.76 (step @p54 :rule trans :premises (@p53 @p52)) % 0.52/0.76 (step @p55 :rule nary_cong :premises (@p20 @p54) :args ((or @t119 (not (and @t108 @t106 @t159 @t151 @t147 @t142 @t136 @t134 @t130 @t126 @t123 @t2))))) % 0.52/0.76 (step @p56 :rule bool-and-de-morgan :args (@t109 @t108 (and @t106 @t159 @t151 @t147 @t142 @t136 @t134 @t130 @t126 @t123 @t2))) % 0.52/0.76 (step @p57 :rule trans :premises (@p56 @p55)) % 0.52/0.76 (step @p58 :rule trans :premises (@p57 @p23)) % 0.52/0.76 (step @p59 :rule cong :premises (@p58) :args (@t166)) % 0.52/0.76 (step @p60 :rule trans :premises (@p59 @p7)) % 0.52/0.76 (step @p61 :rule cong :premises (@p60) :args (@t167)) % 0.52/0.76 (step @p62 :rule exists-elim :args ((= (exists @t111 @t165) @t167))) % 0.52/0.76 (step @p63 :rule trans :premises (@p62 @p61)) % 0.52/0.76 (step @p64 :rule refl :args (@t2)) % 0.52/0.76 (step @p65 :rule exists-elim :args ((= @t8 @t122))) % 0.52/0.76 (step @p66 :rule bool-impl-true2 :args (@t8)) % 0.52/0.76 (step @p67 :rule trans :premises (@p66 @p65)) % 0.52/0.76 (step @p68 :rule cong :premises (@p67) :args (@t10)) % 0.52/0.76 (step @p69 :rule cong :premises (@p68) :args (@t11)) % 0.52/0.76 (step @p70 :rule bool-impl-true2 :args (@t11)) % 0.52/0.76 (step @p71 :rule trans :premises (@p70 @p69)) % 0.52/0.76 (step @p72 :rule cong :premises (@p71) :args (@t13)) % 0.52/0.76 (step @p73 :rule bool-impl-elim :args (@t20 @t125)) % 0.52/0.76 (step @p74 :rule cong :premises (@p73) :args ((forall @t23 (=> @t20 @t125)))) % 0.52/0.76 (step @p75 :rule exists-elim :args ((= @t18 @t125))) % 0.52/0.76 (step @p76 :rule aci_norm :args ((= @t21 @t20))) % 0.52/0.76 (step @p77 :rule cong :premises (@p76 @p75) :args (@t22)) % 0.52/0.76 (step @p78 :rule cong :premises (@p77) :args (@t24)) % 0.52/0.76 (step @p79 :rule trans :premises (@p78 @p74)) % 0.52/0.76 (step @p80 :rule refl :args (@t128)) % 0.52/0.76 (step @p81 :rule bool-double-not-elim :args (@t129)) % 0.52/0.76 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or (not @t168) @t128))) % 0.52/0.76 (step @p83 :rule bool-impl-elim :args (@t168 @t128)) % 0.52/0.76 (step @p84 :rule trans :premises (@p83 @p82)) % 0.52/0.76 (step @p85 :rule cong :premises (@p84) :args ((forall @t39 (=> @t168 @t128)))) % 0.52/0.76 (step @p86 :rule exists-elim :args ((= @t29 @t128))) % 0.52/0.76 (step @p87 :rule aci_norm :args ((= (or @t168 false) @t168))) % 0.52/0.76 (step @p88 :rule evaluate :args ((not true))) % 0.52/0.76 (step @p89 :rule eq-refl :args (@t25)) % 0.52/0.76 (step @p90 :rule cong :premises (@p89) :args (@t169)) % 0.52/0.76 (step @p91 :rule trans :premises (@p90 @p88)) % 0.52/0.76 (step @p92 :rule refl :args (@t168)) % 0.52/0.76 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t170)) % 0.52/0.76 (step @p94 :rule trans :premises (@p93 @p87)) % 0.52/0.76 (step @p95 :rule quant-var-elim-eq :args ((= (forall @t34 (or (not (= @t30 @t25)) @t172 @t171)) @t170))) % 0.52/0.76 (step @p96 :rule refl :args (@t171)) % 0.52/0.76 (step @p97 :rule refl :args (@t172)) % 0.52/0.76 (step @p98 :rule eq-symm :args (@t25 @t30)) % 0.52/0.76 (step @p99 :rule cong :premises (@p98) :args (@t171)) % 0.52/0.76 (step @p100 :rule nary_cong :premises (@p99 @p97 @p96) :args (@t173)) % 0.52/0.76 (step @p101 :rule aci_norm :args ((= @t174 @t173))) % 0.52/0.76 (step @p102 :rule trans :premises (@p101 @p100)) % 0.52/0.76 (step @p103 :rule cong :premises (@p102) :args ((forall @t34 @t174))) % 0.52/0.76 (step @p104 :rule trans :premises (@p103 @p95)) % 0.52/0.76 (step @p105 :rule trans :premises (@p104 @p94)) % 0.52/0.76 (step @p106 :rule bool-and-de-morgan :args (@t32 @t31 true)) % 0.52/0.76 (step @p107 :rule cong :premises (@p106) :args (@t175)) % 0.52/0.76 (step @p108 :rule trans :premises (@p107 @p105)) % 0.52/0.76 (step @p109 :rule cong :premises (@p108) :args (@t176)) % 0.52/0.76 (step @p110 :rule trans :premises (@p109 @p81)) % 0.52/0.76 (step @p111 :rule exists-elim :args ((= @t35 @t176))) % 0.52/0.76 (step @p112 :rule trans :premises (@p111 @p110)) % 0.52/0.76 (step @p113 :rule cong :premises (@p112) :args (@t36)) % 0.52/0.76 (step @p114 :rule aci_norm :args ((= @t37 @t36))) % 0.52/0.76 (step @p115 :rule trans :premises (@p114 @p113)) % 0.52/0.76 (step @p116 :rule cong :premises (@p115 @p86) :args (@t38)) % 0.52/0.76 (step @p117 :rule cong :premises (@p116) :args (@t40)) % 0.52/0.76 (step @p118 :rule trans :premises (@p117 @p85)) % 0.52/0.76 (step @p119 :rule refl :args (@t132)) % 0.52/0.76 (step @p120 :rule bool-double-not-elim :args (@t133)) % 0.52/0.76 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or (not @t177) @t132))) % 0.52/0.76 (step @p122 :rule bool-impl-elim :args (@t177 @t132)) % 0.52/0.76 (step @p123 :rule trans :premises (@p122 @p121)) % 0.52/0.76 (step @p124 :rule cong :premises (@p123) :args ((forall @t49 (=> @t177 @t132)))) % 0.52/0.76 (step @p125 :rule exists-elim :args ((= @t45 @t132))) % 0.52/0.76 (step @p126 :rule eq-symm :args (@t41 |tptp.'Butler'|)) % 0.52/0.76 (step @p127 :rule cong :premises (@p126) :args (@t46)) % 0.52/0.76 (step @p128 :rule aci_norm :args ((= @t47 @t46))) % 0.52/0.76 (step @p129 :rule trans :premises (@p128 @p127)) % 0.52/0.76 (step @p130 :rule cong :premises (@p129 @p125) :args (@t48)) % 0.52/0.76 (step @p131 :rule cong :premises (@p130) :args (@t50)) % 0.52/0.76 (step @p132 :rule trans :premises (@p131 @p124)) % 0.52/0.76 (step @p133 :rule bool-double-not-elim :args (@t136)) % 0.52/0.76 (step @p134 :rule exists-elim :args ((= @t54 @t137))) % 0.52/0.76 (step @p135 :rule cong :premises (@p134) :args (@t55)) % 0.52/0.76 (step @p136 :rule trans :premises (@p135 @p133)) % 0.52/0.76 (step @p137 :rule quant-merge-prenex :args ((= (forall @t66 @t179) @t142))) % 0.52/0.76 (step @p138 :rule alpha_equiv :args (@t180 (@list @t138) (@list @t57))) % 0.52/0.76 (step @p139 :rule refl :args (@t140)) % 0.52/0.76 (step @p140 :rule nary_cong :premises (@p139 @p138) :args (@t181)) % 0.52/0.76 (step @p141 :rule quant-miniscope-or :args ((= @t179 @t181))) % 0.52/0.76 (step @p142 :rule trans :premises (@p141 @p140)) % 0.52/0.76 (step @p143 :rule symm :premises (@p142)) % 0.52/0.76 (step @p144 :rule cong :premises (@p143) :args ((forall @t66 (or @t140 @t182)))) % 0.52/0.76 (step @p145 :rule trans :premises (@p144 @p137)) % 0.52/0.76 (step @p146 :rule bool-impl-elim :args (@t63 @t182)) % 0.52/0.76 (step @p147 :rule cong :premises (@p146) :args ((forall @t66 (=> @t63 @t182)))) % 0.52/0.76 (step @p148 :rule trans :premises (@p147 @p145)) % 0.52/0.76 (step @p149 :rule bool-double-not-elim :args (@t182)) % 0.52/0.76 (step @p150 :rule exists-elim :args ((= @t60 (not @t182)))) % 0.52/0.76 (step @p151 :rule cong :premises (@p150) :args (@t61)) % 0.52/0.76 (step @p152 :rule trans :premises (@p151 @p149)) % 0.52/0.76 (step @p153 :rule aci_norm :args ((= @t64 @t63))) % 0.52/0.76 (step @p154 :rule cong :premises (@p153 @p152) :args (@t65)) % 0.52/0.76 (step @p155 :rule cong :premises (@p154) :args (@t67)) % 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(@p410 @p408 @p402) :args (@t262 @t222 (@list @t259 @t263))) % 0.52/0.76 (step @p412 :rule refl :args (@t264)) % 0.52/0.76 (step @p413 :rule bool-double-not-elim :args (@t257)) % 0.52/0.76 (step @p414 :rule nary_cong :premises (@p413 @p412) :args ((or (not @t262) @t264))) % 0.52/0.76 (step @p415 :rule bool-double-not-elim :args (@t264)) % 0.52/0.76 (step @p416 :rule refl :args (@t262)) % 0.52/0.76 (step @p417 :rule cong :premises (@p416 @p415) :args ((=> @t262 @t266))) % 0.52/0.76 (assume-push @p535 @t262) % 0.52/0.76 (step @p419 :rule skolemize :premises (@p411)) % 0.52/0.76 (step-pop @p536 :rule scope :premises (@p419)) % 0.52/0.76 (step @p420 :rule process_scope :premises (@p536) :args (@t266)) % 0.52/0.76 (step @p422 :rule eq_resolve :premises (@p420 @p417)) % 0.52/0.76 (step @p423 :rule implies_elim :premises (@p422)) % 0.52/0.76 (step @p424 :rule eq_resolve :premises (@p423 @p414)) % 0.52/0.76 (step @p425 :rule chain_m_resolution :premises (@p424 @p411) :args (@t264 @t210 (@list @t257))) % 0.52/0.76 (step @p426 :rule refl :args (@t267)) % 0.52/0.76 (step @p427 :rule bool-double-not-elim :args (@t268)) % 0.52/0.76 (step @p428 :rule refl :args (@t265)) % 0.52/0.76 (step @p429 :rule refl :args (@t270)) % 0.52/0.76 (step @p430 :rule nary_cong :premises (@p429 @p428 @p427 @p426) :args ((or @t270 @t265 (not @t271) @t267))) % 0.52/0.76 (assume-push @p537 @t271) % 0.52/0.76 (assume-push @p538 @t255) % 0.52/0.76 (assume-push @p539 @t269) % 0.52/0.76 (assume-push @p540 @t264) % 0.52/0.76 (step @p327 :rule evaluate :args (@t239)) % 0.52/0.76 (step @p435 :rule false_intro :premises (@p399)) % 0.52/0.76 (step @p436 :rule symm :premises (@p539)) % 0.52/0.76 (step @p437 :rule trans :premises (@p436 @p538)) % 0.52/0.76 (step @p438 :rule refl :args (|tptp.'Butler'|)) % 0.52/0.76 (step @p331 :rule refl :args (tptp.hate)) % 0.52/0.76 (step @p439 :rule refl :args (@t258)) % 0.52/0.76 (step @p440 :rule cong :premises (@p439 @p331 @p438 @p437) :args (@t264)) % 0.52/0.76 (step @p441 :rule true_intro :premises (@p425)) % 0.52/0.76 (step @p442 :rule symm :premises (@p441)) % 0.52/0.76 (step @p443 :rule trans :premises (@p442 @p440 @p435)) % 0.52/0.76 (step @p444 false :rule eq_resolve :premises (@p443 @p327)) % 0.52/0.76 (step-pop @p541 :rule scope :premises (@p444)) % 0.52/0.76 (step-pop @p542 :rule scope :premises (@p541)) % 0.52/0.76 (step-pop @p543 :rule scope :premises (@p542)) % 0.52/0.76 (step-pop @p544 :rule scope :premises (@p543)) % 0.52/0.76 (step @p445 :rule process_scope :premises (@p544) :args (false)) % 0.52/0.76 (assume-push @p545 @t269) % 0.52/0.76 (assume-push @p546 @t264) % 0.52/0.76 (assume-push @p547 @t271) % 0.52/0.76 (assume-push @p548 @t255) % 0.52/0.76 (step @p454 :rule and_intro :premises (@p399 @p548 @p545 @p425)) % 0.52/0.76 (step-pop @p549 :rule scope :premises (@p454)) % 0.52/0.76 (step-pop @p550 :rule scope :premises (@p549)) % 0.52/0.76 (step-pop @p551 :rule scope :premises (@p550)) % 0.52/0.76 (step-pop @p552 :rule scope :premises (@p551)) % 0.52/0.76 (step @p455 :rule process_scope :premises (@p552) :args (@t272)) % 0.52/0.76 (step @p460 :rule implies_elim :premises (@p455)) % 0.52/0.76 (step @p461 :rule resolution :premises (@p460 @p445) :args (true @t272)) % 0.52/0.76 (step @p462 :rule not_and :premises (@p461)) % 0.52/0.76 (step @p463 :rule eq_resolve :premises (@p462 @p430)) % 0.52/0.76 (step @p464 :rule chain_m_resolution :premises (@p463 @p425 @p399 @p398) :args (@t270 @t273 (@list @t264 @t268 @t255))) % 0.52/0.76 (step @p465 :rule bool-double-not-elim :args (@t205)) % 0.52/0.76 (step @p466 :rule nary_cong :premises (@p244 @p465) :args ((or @t209 (not @t206)))) % 0.52/0.76 (step @p467 :rule cnf_or_neg :args (@t209 1)) % 0.52/0.76 (step @p468 :rule eq_resolve :premises (@p467 @p466)) % 0.52/0.76 (step @p469 :rule reordering :premises (@p468) :args ((or @t205 @t209))) % 0.52/0.76 (step @p470 :rule chain_m_resolution :premises (@p469 @p242) :args (@t205 @t210 @t211)) % 0.52/0.76 (step @p471 :rule bool-double-not-elim :args (@t207)) % 0.52/0.76 (step @p472 :rule nary_cong :premises (@p244 @p471) :args ((or @t209 (not @t208)))) % 0.52/0.76 (step @p473 :rule cnf_or_neg :args (@t209 0)) % 0.52/0.76 (step @p474 :rule eq_resolve :premises (@p473 @p472)) % 0.52/0.76 (step @p475 :rule reordering :premises (@p474) :args ((or @t207 @t209))) % 0.52/0.76 (step @p476 :rule chain_m_resolution :premises (@p475 @p242) :args (@t207 @t210 @t211)) % 0.52/0.76 (step @p477 :rule cnf_or_pos :args (@t275)) % 0.52/0.76 (step @p478 :rule reordering :premises (@p477) :args ((or @t208 @t206 @t274 @t269 @t237 (not @t275)))) % 0.52/0.76 (step @p479 :rule chain_m_resolution :premises (@p478 @p476 @p470 @p464 @p354 @p258) :args (@t274 (@list false false true true false) (@list @t207 @t205 @t269 @t237 @t275))) % 0.52/0.76 (step @p480 :rule bool-double-not-elim :args (@t276)) % 0.52/0.76 (step @p481 :rule refl :args (@t277)) % 0.52/0.76 (step @p482 :rule refl :args (@t203)) % 0.52/0.76 (step @p483 :rule nary_cong :premises (@p482 @p481 @p480) :args ((or @t203 @t277 (not @t278)))) % 0.52/0.76 (assume-push @p553 @t278) % 0.52/0.76 (assume-push @p554 @t274) % 0.52/0.76 (assume-push @p555 @t202) % 0.52/0.76 (step @p327 :rule evaluate :args (@t239)) % 0.52/0.76 (step @p487 :rule false_intro :premises (@p255)) % 0.52/0.76 (step @p329 :rule refl :args (|tptp.'AuntAgatha'|)) % 0.52/0.76 (step @p488 :rule symm :premises (@p554)) % 0.52/0.76 (step @p489 :rule refl :args (tptp.kill)) % 0.52/0.76 (step @p490 :rule refl :args (@t201)) % 0.52/0.76 (step @p491 :rule cong :premises (@p490 @p489 @p488 @p329) :args (@t202)) % 0.52/0.76 (step @p492 :rule true_intro :premises (@p249)) % 0.52/0.76 (step @p493 :rule symm :premises (@p492)) % 0.52/0.76 (step @p494 :rule trans :premises (@p493 @p491 @p487)) % 0.52/0.76 (step @p495 false :rule eq_resolve :premises (@p494 @p327)) % 0.52/0.76 (step-pop @p556 :rule scope :premises (@p495)) % 0.52/0.76 (step-pop @p557 :rule scope :premises (@p556)) % 0.52/0.76 (step-pop @p558 :rule scope :premises (@p557)) % 0.52/0.76 (step @p496 :rule process_scope :premises (@p558) :args (false)) % 0.52/0.76 (assume-push @p559 @t202) % 0.52/0.76 (assume-push @p560 @t274) % 0.52/0.76 (assume-push @p561 @t278) % 0.52/0.76 (step @p503 :rule and_intro :premises (@p255 @p560 @p249)) % 0.52/0.76 (step-pop @p562 :rule scope :premises (@p503)) % 0.52/0.76 (step-pop @p563 :rule scope :premises (@p562)) % 0.52/0.76 (step-pop @p564 :rule scope :premises (@p563)) % 0.52/0.76 (step @p504 :rule process_scope :premises (@p564) :args (@t279)) % 0.52/0.76 (step @p508 :rule implies_elim :premises (@p504)) % 0.52/0.76 (step @p509 :rule resolution :premises (@p508 @p496) :args (true @t279)) % 0.52/0.76 (step @p510 :rule not_and :premises (@p509)) % 0.52/0.76 (step @p511 :rule eq_resolve :premises (@p510 @p483)) % 0.52/0.76 (step @p512 false :rule chain_m_resolution :premises (@p511 @p479 @p255 @p249) :args (false @t273 (@list @t274 @t276 @t202))) % 0.52/0.76 ) % 0.52/0.76 % SZS output end Proof % 0.52/0.76 % cvc5 exiting %------------------------------------------------------------------------------